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PLSSS HELP PLS

Match each polynomial with its factorization. Match the number to the letter

1. 2 x2 – 32


2. X2 – 16 x + 64


3. X4 – 81


4. – x2 + 4 x + 21


5. X2 + 2 x – 15


6. 4 – 9 x – 2 – 5 x2



a. _____ ( x + 5)( x – 3)

b. _____2( x – 4)( x + 4)

c. _____ ( x – 8) 2

d. _____ ( x + 3)(7 – x)

e. _____ (1 – 5 x)( x + 2)

f. _____ ( x – 3)( x + 3)( x2 + 9)

Respuesta :

lhannearaujo

The matching between polynomial with its factorization is:

Letter A - Number 5

Letter B - Number 1

Letter C - Number 2

Letter D - Number 4

Letter E - Number 6

Letter F - Number 3

Factoring

In math, the factoring or factorization is used to write an algebraic expression in factors.

The question gives a polynomial and asks your respective factorization. For solving this exercise, you should calculate the multiplication between the terms and after that you should match the result with given equations.

  • Letter a - ( x + 5)( x – 3)

      Multiplying the terms, you will have:

      x²-3x+5x-15=x²+2x-15

     Therefore, the letter a match with the equation 5.

  • Letter b - 2( x – 4)( x + 4)

      Multiplying the terms, you will have:

      2(x²+4x-4x-16)=2(x²-16)=2x²-32

     Therefore, the letter b match with the equation 1.

  • Letter c - ( x – 8)²

      Multiplying the terms, you will have:

      (x-8)*(x-8)=x²-8x-8x+64=x²-16x+64

     Therefore, the letter c match with the equation 2.

  • Letter d - ( x + 3)(7 – x)

      Multiplying the terms, you will have:

      7x-x²+21-3x= -x²+4x+21

     Therefore, the letter d match with the equation 4.

  • Letter e - (1 – 5 x)( x + 2)

      Multiplying the terms, you will have:

      x+2-5x²-10x= -5x²-9x+2

     Therefore, the letter e match with the equation 6.

      See, the equation 6 is 4-9x-2-5x²=-5x²-9x+2.

  • Letter f - ( x – 3)( x + 3)( x² + 9)

      Multiplying the terms, you will have:

     ( x – 3)( x + 3)( x² + 9)= (x²-3x+3x-9)(x²+9)= (x²-9)(x²+9)= x²-81

 

     Therefore, the letter f match with the equation 3.

Learn more about the factoring here:

https://brainly.com/question/11579257

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